It is very much a major problem, but the Constitution isn't the cause --- the divisions in the country are the cause.

It used to be that a news show would get a Dem rep and GOP rep together and put them in two talking head boxes, throw out a question, and they'd both give their perspective with a minimum of snark. There would even sometimes be friendly banter between the "sides".

That was when both sides believed that the other truly wanted what was best for America, but just had different ways of achieving it.

Things changed a bit when Clinton was elected. Clinton was, of course, both a womanizer and a draft avoider, and these traits disturbed the more moralistic GOPers. (Not that they were actually more moral, or that they didn't avoid the draft just as much --- but they took the position that they were offended by these behaviors.)

But, everyone still managed to work together. There were many instances during the Clinton terms.

Relations took another downturn during the Bush administration. I suspect many Dems felt they had been suckered into supporting the Iraq misadventure, and that led to wanting a pound of flesh to be exacted. But I remember clearly during the Howard Dean campaign, when somehow the rhetoric changed. It wasn't the Bush POLICIES that were stupid, it was BUSH who was stupid. (The fact that their candidate of choice, John Kerry and Bush had been at Yale at the same time, and Bush's grades were better than Kerry's, didn't' seem to factor in.)

Obama's admin took another leg down. I distinctly remember the Obama supporters that hit the airwaves. They were young, they were snarky, and you could see the contempt on their faces when they were were "listening" to the "other side" present the GOP case in response to a question or in a discussion.

From there, it was not surprising that the two-party-same-screen events got fewer and fewer. The Dem base decided that Fox wasn't a legitimate news network, and started harassing Dem reps who went on Fox for interviews. It didn't take long after that before GOP reps were largely disinvited from CNN and MSNBC. Dialogue generally stopped, and when it still existed, it was....well, kind of nasty.

And then in 2016 the Dems nominated the GOP's Most Hated Democrat, and the GOP nominated the world's Most Hated Republican, and things went downhill from there. :-)

I really don't know how to get out of the well we're in. Neither "side" seems willing to consider the possibility that the other side has anything worth listening to.